A157929 Numbers n such that n^2+4, n^2+8, and n^2+10 are prime.

3, 57, 1203, 2307, 3837, 3843, 4227, 4257, 5277, 7053, 7473, 9933, 10893, 11487, 12603, 23223, 32397, 44037, 44517, 46893, 48327, 48693, 52083, 52923, 54813, 55647, 61827, 61977, 62493, 71733, 71793, 77097, 81837, 97383, 98487, 98853, 99393, 102117, 102753, 109617, 112347

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Mathematica

Select[Range[112347], PrimeQ[#^2+4] && PrimeQ[#^2+8] && PrimeQ[#^2+10]&]
Select[Range[120000], AllTrue[#^2+{4, 8, 10}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 09 2016 *)

Prog

(Magma)[n: n in [0..150000]|IsPrime(n^2+4) and IsPrime(n^2+8) and IsPrime(n^2+10)]

Crossrefs

Cf. A086220.

Sequence in context: A262127 A139746 A273919 * A053725 A053774 A254570

Adjacent sequences: A157926 A157927 A157928 * A157930 A157931 A157932

Keyword

nonn

Author

Vincenzo Librandi, Dec 16 2010

Status

approved